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Westkost [7]
3 years ago
6

you draw a card from a deck if you get a red card you win nothing if you get a spade you win 14 for any club you win 28 plus an

extra 10 for the ace of clubs find the stanard deviation of the amount you might win drawin a card
Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0

Answer: Standard deviation is 11.6

Step-by-step explanation:

Sample mean 52/4=13

X. X---x(bar). X---x(bar)^2

0. 0--13=-13. -13^2=169

14. 14--13=1. 1^2=1

28. 28--13=15. 15^2=225

10. 10--13=--3. --3^2=9

__________________________

52. 404

Standard deviation=√404/3=11.6

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The bike shop charges $10 for flat tire repair and $40 for a full tuneup. The total receipts for services was $3000. 10 tuneup’s
jonny [76]

Answer:

260 flat tyres were repaired.

<u>$400 </u>of sales in full tuneups

<u>$2600 </u>of sales in flat tyre repairs

Step-by-step explanation:

$40 x 10 = $400

$3000 - <u>$400</u> = $2600

<u>$2600</u> ÷ $10 = 260 flat tyres

7 0
3 years ago
Solve the system of equations
rewona [7]

Answer:

x = 1/4

y = -1/2

z = 9/4

Step-by-step explanation:

Here we have a system of 3 equations with 3 variables:

4*x + 2*y + 1 = 1

2*x - y = 1

x + 3*y + z = 1

The first step to solve this, is to isolate one of the variables in one of the equations, let's isolate "y" in the second equation:

2*x - y = 1

2*x - 1 = y

Now that we have an expression equivalent to "y", we can replace this in the other two equations:

4*x + 2*(2*x - 1) + 1 = 1

x + 3*(2*x - 1) + z = 1

Now let's simplify these two equations:

8*x - 1 = 1

7*x - 3 + z = 1

Now, in the first equation we have only the variable x, so we can solve that equation to find the value of x:

8*x - 1 = 1

8*x = 1 + 1 = 2

x = 2/8 = 1/4

Now that we know the value of x, we can replace this in the other equation to find the value of z.

7*(1/4) -3 + z = 1

7/4 - 3 + z = 1

z = 1 + 3 - 7/4

z = 4 - 7/4

z = 16/4 - 7/4 = 9/4

z = 9/4

Now we can use the equation y = 2*x - 1 and the value of x to find the value of y:

y = 2*(1/4) - 1

y = 2/4 - 1

y = 1/2 - 1

y = -1/2

Then the solution is:

x = 1/4

y = -1/2

z = 9/4

7 0
3 years ago
Write a formula for the maximum number of segments determined by n points
jeyben [28]
Let n = the number of points
(x-1) + ... (x-x)

The last term will always be 0, when you reach that, stop.

ex. 1pt: 1-1=0
      2pt: (2-1) + (2-2) = 1
      3pt: (3-1) + (3-2) + (3-3) = 3

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